Results 51 to 60 of about 5,421,281 (277)
Turing patterns in nonlinear optics [PDF]
Optics Communications, 2000 The phenomenon of pattern formation in nonlinear optical resonators is commonly related to an off-resonance excitation mechanism, where patterns occur due to mismatch between the excitation and resonance frequency. In this paper we show that the patterns in nonlinear optics can also occur due to the interplay between diffractions of coupled field ...
Staliunas, Kestutis +1 more
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Non-linear effects on Turing patterns: time oscillations and chaos. [PDF]
, 2012 We show that a model reaction-diffusion system with two species in a monostable regime and over a large region of parameter space, produces Turing patterns coexisting with a limit cycle which cannot be discerned from the linear analysis. As a consequence,
Aragón, J. L. +4 more
core +1 more source
Colour Patterns: Channelling Turing [PDF]
Current Biology, 2012 Very little is known about how animal colour patterns develop. The stripes of the zebrafish provide a tractable a model for colour pattern formation, which now suggests an unconventional patterning mechanism.
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Features requirement elicitation process for designing a chatbot application
IET Networks, EarlyView., 2022 This article seeks to assist the chatbot community by outlining the characteristics that a chatbot needs to possess and explaining how to create a chatbot for a bank. In order to determine which capabilities are most crucial to ending users, a study of a small sample of chatbot users was conducted.
Nurul Muizzah Johari +4 more
wiley +1 more source
Spatiotemporal dynamics for a diffusive mussel–algae model near a Hopf bifurcation point
Advances in Difference Equations, 2021 In this paper, the Hopf bifurcation and Turing instability for a mussel–algae model are investigated. Through analysis of the corresponding kinetic system, the existence and stability conditions of the equilibrium and the type of Hopf bifurcation are ...
Shihong Zhong, Xuehan Cheng, Biao Liu
doaj +1 more source
Mathematics, 2023 In this paper, we discuss the pattern dynamics of an SI epidemic model caused by spatial dependency, which is represented by self- and cross-diffusion terms.
Anita Triska +2 more
doaj +1 more source
Stochastic Turing patterns on a network [PDF]
Physical Review E, 2012 The process of stochastic Turing instability on a network is discussed for a specific case study, the stochastic Brusselator model. The system is shown to spontaneously differentiate into activator-rich and activator-poor nodes, outside the region of parameters classically deputed to the deterministic Turing instability. This phenomenon, as revealed by
Malbor Asslani +2 more
openaire +4 more sources
Spatiotemporal dynamics of a diffusive predator-prey system incorporating social behavior
AIMS Mathematics, 2023 This research concerned with a new formulation of a spatial predator-prey model with Leslie-Gower and Holling type II schemes in the presence of prey social behavior.
Fethi Souna +6 more
doaj +1 more source
Labyrinthine Turing Pattern Formation in the Cerebral Cortex [PDF]
, 2002 I propose that the labyrinthine patterns of the cortices of mammalian brains may be formed by a Turing instability of interacting axonal guidance species acting together with the mechanical strain imposed by the interconnecting axons.Comment: See home ...
BAIER +41 more
core +3 more sources
Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion
Discrete Dynamics in Nature and Society, 2013 We investigate spatiotemporal dynamics of a semi-ratio-dependent predator-prey system with reaction-diffusion and zero-flux boundary. We obtain the conditions for Hopf, Turing, and wave bifurcations of the system in a spatial domain by making use of the ...
Hunki Baek, Dong Ick Jung, Zhi-wen Wang
doaj +1 more source